5111431614000 has 1120 divisors, whose sum is σ = 18944120832000. Its totient is φ = 1333027238400.

The previous prime is 5111431613999. The next prime is 5111431614007. The reversal of 5111431614000 is 4161341115.

5111431614000 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 43 + 1 + 614 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5111431614000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5111431614007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22921217889 + ... + 22921218111.

It is an arithmetic number, because the mean of its divisors is an integer number (16914393600).

Almost surely, 2^{5111431614000} is an apocalyptic number.

5111431614000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5111431614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472060416000).

5111431614000 is an abundant number, since it is smaller than the sum of its proper divisors (13832689218000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5111431614000 is a wasteful number, since it uses less digits than its factorization.

5111431614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 5111431614000 its reverse (4161341115), we get a palindrome (5115592955115).

The spelling of 5111431614000 in words is "five trillion, one hundred eleven billion, four hundred thirty-one million, six hundred fourteen thousand".